Reservoir Engineering pp 245-288 | Cite as

# Linear Form of Material Balance Equation

## Abstract

The complex nature of the material balance equation (MBE) used in estimation of oil and gas initially in place, cumulative aquifer/water influx, gas cap size and the contribution of the various drive mechanism was reduced to a simpler form by Havlena and Odeh (1963) to express the MBE in a straight line form. This involves rearranging the MBE into a linear equation. Therefore, the various mathematical model for the different material balance equations for the reservoir types in chapter five are represented in a straight line form in this chapter. To identify the type of reservoir in question, based on the signature of pressure history or behaviour and the production trend, Campbell and Dake developed a diagnostic plot and also to check for the presence and strength of aquifer. The plots were established based on the assumption of a volumetric reservoir, and deviation from this behaviour is used to indicate the reservoir type. Hence, the linear form of the material balance equations are presented for the various reservoir types with several solved example questions.

## Keyword

Material balance Linear equation Diagnostic plot Campbell plot Dake plot Undersaturated reservoir Saturated reservoir Production data PVT data Aquifer influx Drive mechanisms STOIIP FGIIP## References

- Clark N (1969) Elements of petroleum reservoirs. SPE, DallasGoogle Scholar
- Cole F (1969) Reservoir engineering manual. Gulf Publishing Co, HoustonGoogle Scholar
- Craft BC, Hawkins M (Revised by Terry RE) (1991) Applied Petroleum Reservoir Engineering, 2nd edn. Englewood Cliffs, Prentice HallGoogle Scholar
- Dake LP (1978) Fundamentals of reservoir engineering. Elsevier, AmsterdamGoogle Scholar
- Dake L (1994) The practice of reservoir engineering. Elsevier, AmsterdamGoogle Scholar
- Donnez P (2010) Essential of reservoir engineering, editions technip, Paris, pp 249–272Google Scholar
- Havlena D, Odeh AS (1963) The material balance as an equation of a straight line. JPT 15:896–900CrossRefGoogle Scholar
- Havlena D, Odeh AS (1964) The material balance as an equation of a straight line, Part II—Field Cases. JPT 815–822Google Scholar
- Numbere DT (1998) Applied petroleum reservoir engineering, lecture notes on reservoir engineering. In: University of Missouri-RollaGoogle Scholar
- Okotie S, Onyenkonwu MO (2015) Software for reservoir performance prediction. Paper presentation at the Nigeria Annual International Conference and Exhibition held in Lagos, Nigeria, 4–6 Aug 2015Google Scholar
- Pletcher JL (2002) Improvements to reservoir material balance methods, spe reservoir evaluation and engineering, pp 49–59Google Scholar
- Stanley B, Biu VT, Okotie S (2015) A time function Havlena and Odeh MBE straight line equation. Paper presentation at the Nigeria Annual International Conference and Exhibition held in Lagos, Nigeria, 4–6 Aug 2015Google Scholar
- Steffensen R (1992) Solution gas drive reservoirs. Petroleum Engineering Handbook, Chapter 37. Dallas: SPE, 1992Google Scholar
- Tarek A (2010) Reservoir engineering handbook, 3rd edn. Elsevier Scientific Publishing Company, AmsterdamGoogle Scholar
- Van Everdingen AF, Timmerman EH, McMahon JJ (2013) Application of the Material Balance Equation to a Partial Water-Drive Reservoir. J Pet Technol 5(02):51–60Google Scholar